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34045050 = 23521321779
BaseRepresentation
bin1000000111011…
…1110001111010
32101001200000210
42001313301322
532203420200
63213411550
7562243464
oct201676172
971050023
1034045050
1118243606
12b499bb6
137090200
144743134
152ec7650
hex2077c7a

34045050 has 144 divisors (see below), whose sum is σ = 98029440. Its totient is φ = 7787520.

The previous prime is 34045049. The next prime is 34045057. The reversal of 34045050 is 5054043.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34045057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 430911 + ... + 430989.

It is an arithmetic number, because the mean of its divisors is an integer number (680760).

Almost surely, 234045050 is an apocalyptic number.

34045050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34045050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49014720).

34045050 is an abundant number, since it is smaller than the sum of its proper divisors (63984390).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34045050 is a wasteful number, since it uses less digits than its factorization.

34045050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 34045050 is about 5834.8136217021. The cubic root of 34045050 is about 324.1041998339.

Adding to 34045050 its reverse (5054043), we get a palindrome (39099093).

The spelling of 34045050 in words is "thirty-four million, forty-five thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 17 25 26 30 34 39 50 51 65 75 78 79 85 102 130 150 158 169 170 195 221 237 255 325 338 390 395 425 442 474 507 510 650 663 790 845 850 975 1014 1027 1105 1185 1275 1326 1343 1690 1950 1975 2054 2210 2370 2535 2550 2686 2873 3081 3315 3950 4029 4225 5070 5135 5525 5746 5925 6162 6630 6715 8058 8450 8619 10270 11050 11850 12675 13351 13430 14365 15405 16575 17238 17459 20145 25350 25675 26702 28730 30810 33150 33575 34918 40053 40290 43095 51350 52377 66755 67150 71825 77025 80106 86190 87295 100725 104754 133510 143650 154050 174590 200265 201450 215475 226967 261885 333775 400530 430950 436475 453934 523770 667550 680901 872950 1001325 1134835 1309425 1361802 2002650 2269670 2618850 3404505 5674175 6809010 11348350 17022525 34045050